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247113120 = 2535514819
BaseRepresentation
bin11101011101010…
…10010110100000
3122012222122110210
432232222112200
51001230104440
640304254120
76060266262
oct1656522640
9565878423
10247113120
11117541821
126a911340
133c2716a7
1424b67b32
1516a63a80
hexebaa5a0

247113120 has 48 divisors (see below), whose sum is σ = 778407840. Its totient is φ = 65896704.

The previous prime is 247113079. The next prime is 247113143. The reversal of 247113120 is 21311742.

247113120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2471131202 = 122129788152268800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 256930 + ... + 257889.

It is an arithmetic number, because the mean of its divisors is an integer number (16216830).

Almost surely, 2247113120 is an apocalyptic number.

247113120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

247113120 is an abundant number, since it is smaller than the sum of its proper divisors (531294720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

247113120 is a wasteful number, since it uses less digits than its factorization.

247113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514837 (or 514829 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 247113120 is about 15719.8320601716. The cubic root of 247113120 is about 627.5263037708.

Adding to 247113120 its reverse (21311742), we get a palindrome (268424862).

The spelling of 247113120 in words is "two hundred forty-seven million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 514819 1029638 1544457 2059276 2574095 3088914 4118552 5148190 6177828 7722285 8237104 10296380 12355656 15444570 16474208 20592760 24711312 30889140 41185520 49422624 61778280 82371040 123556560 247113120